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Finding the Fourth Proportional to 740.77, 1,020.96 and 543.94

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Solution

The fourth proportional to 740.77, 1,020.96 and 543.94 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.77 : 1,020.96 = 543.94 : x
  2. Step 2: Convert to fraction form
    740.77/1,020.96 = 543.94/x
  3. Step 3: Cross multiply
    740.77x = 1,020.96 × 543.94
  4. Step 4: Simplify right side
    740.77x = 555,338.43
  5. Step 5: Solve for x
    x = 555,338.43/740.77
  6. Step 6: Final answer
    x = 749.68

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.